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1113205043132 = 2272131774334589
BaseRepresentation
bin10000001100110000001…
…100001110111110111100
310221102101011200110111022
4100030300030032332330
5121214320442340012
62211222131243312
7143266154512400
oct20146014167674
93842334613438
101113205043132
1139a120253386
1215b8b6149538
1380c897ab870
143bc45169100
151de54e06472
hex1033030efbc

1113205043132 has 144 divisors (see below), whose sum is σ = 2587598758080. Its totient is φ = 413913765888.

The previous prime is 1113205043123. The next prime is 1113205043143. The reversal of 1113205043132 is 2313405023111.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32166494 + ... + 32201082.

It is an arithmetic number, because the mean of its divisors is an integer number (17969435820).

Almost surely, 21113205043132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1113205043132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293799379040).

1113205043132 is an abundant number, since it is smaller than the sum of its proper divisors (1474393714948).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1113205043132 is a wasteful number, since it uses less digits than its factorization.

1113205043132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35380 (or 35371 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The spelling of 1113205043132 in words is "one trillion, one hundred thirteen billion, two hundred five million, forty-three thousand, one hundred thirty-two".

Divisors: 1 2 4 7 13 14 17 26 28 34 49 52 68 91 98 119 182 196 221 238 364 442 476 637 743 833 884 1274 1486 1547 1666 2548 2972 3094 3332 5201 6188 9659 10402 10829 12631 19318 20804 21658 25262 34589 36407 38636 43316 50524 67613 69178 72814 88417 135226 138356 145628 164203 176834 242123 270452 328406 353668 449657 473291 484246 588013 618919 656812 899314 946582 968492 1149421 1176026 1237838 1694861 1798628 1893164 2298842 2352052 2475676 3147599 3389722 4116091 4597684 6295198 6779444 7644169 8045947 8232182 12590396 15288338 16091894 16464364 22033193 25699627 28812637 30576676 32183788 44066386 51399254 53509183 57625274 88132772 102798508 107018366 115250548 179897389 214036732 334095151 359794778 374564281 436893659 668190302 719589556 749128562 873787318 1259281723 1336380604 1498257124 1747574636 2338666057 2518563446 3058255613 4677332114 5037126892 5679617567 6116511226 9354664228 11359235134 12233022452 16370662399 21407789291 22718470268 32741324798 39757322969 42815578582 65482649596 79514645938 85631157164 159029291876 278301260783 556602521566 1113205043132